Applications of Derivatives Videos and Resources

1. Curve Sketching

(i) Intervals of Increase/Decrease and Local Maximum/Minimum Values (of the function)

Link to video explaining critical numbers







(ii) Intervals of Concave Up/ Concave Down and Points of inflection

Link to video explaining Concavity and Inflection Points







(iii) Asymptotes (review)

Vertical Asymptotes




Horizontal Asymptotes



Oblique Asymptotes




. Overview of General Method of Curve Sketching (but add Vertical, Horizonal and Oblique Asymptotes to his explanation)

Link to overview of curve sketching

. Curve Sketching Examples (using all steps - we aren't using symmetry as is done in the examples below)

(i) Example 1

Part 1



Part 2




Example 2



Example 3 (this is a long one! 4 videos! Try it first on your own as a challenge!)


Part 1





Part 2




Part 3




Part 4




link to one final example

2. Optimization Problems ( or maximum / minimum problems)

Overview of Optimization (actual example starts at 4:45 of video)




Example 1




Example 2




Example 3




Example 4





Example 5




Example 6




Example 7




Example 8





More Challenging Examples

Solution to Question # 3 from Wednesday's class

(note: my answer is a little different since in the video their answer is not rationalized)